# Semiclassical states for quantum cosmology

## Abstract

In a metric variable based Hamiltonian quantization, we give a prescription for constructing semiclassical matter-geometry states for homogeneous and isotropic cosmological models. These 'collective' states arise as infinite linear combinations of fundamental excitations in an unconventional polymer quantization. They satisfy a number of properties characteristic of semiclassicality, such as peaking on classical phase space configurations. We describe how these states can be used to determine quantum corrections to the classical evolution equations, and to compute the initial state of the universe by a backward time evolution.

- Authors:

- Department of Mathematics and Statistics, University of New Brunswick, Fredericton, NB E3B 5A3 (Canada)
- (Canada)

- Publication Date:

- OSTI Identifier:
- 20935230

- Resource Type:
- Journal Article

- Resource Relation:
- Journal Name: Physical Review. D, Particles Fields; Journal Volume: 75; Journal Issue: 2; Other Information: DOI: 10.1103/PhysRevD.75.024014; (c) 2007 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA)

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; COSMOLOGICAL MODELS; COSMOLOGY; EQUATIONS; HAMILTONIANS; MATHEMATICAL EVOLUTION; MATTER; PHASE SPACE; QUANTIZATION; QUANTUM MECHANICS; SEMICLASSICAL APPROXIMATION; UNIVERSE

### Citation Formats

```
Husain, Viqar, Winkler, Oliver, and Perimeter Institute of Theoretical Physics, Waterloo, ON.
```*Semiclassical states for quantum cosmology*. United States: N. p., 2007.
Web. doi:10.1103/PHYSREVD.75.024014.

```
Husain, Viqar, Winkler, Oliver, & Perimeter Institute of Theoretical Physics, Waterloo, ON.
```*Semiclassical states for quantum cosmology*. United States. doi:10.1103/PHYSREVD.75.024014.

```
Husain, Viqar, Winkler, Oliver, and Perimeter Institute of Theoretical Physics, Waterloo, ON. Mon .
"Semiclassical states for quantum cosmology". United States.
doi:10.1103/PHYSREVD.75.024014.
```

```
@article{osti_20935230,
```

title = {Semiclassical states for quantum cosmology},

author = {Husain, Viqar and Winkler, Oliver and Perimeter Institute of Theoretical Physics, Waterloo, ON},

abstractNote = {In a metric variable based Hamiltonian quantization, we give a prescription for constructing semiclassical matter-geometry states for homogeneous and isotropic cosmological models. These 'collective' states arise as infinite linear combinations of fundamental excitations in an unconventional polymer quantization. They satisfy a number of properties characteristic of semiclassicality, such as peaking on classical phase space configurations. We describe how these states can be used to determine quantum corrections to the classical evolution equations, and to compute the initial state of the universe by a backward time evolution.},

doi = {10.1103/PHYSREVD.75.024014},

journal = {Physical Review. D, Particles Fields},

number = 2,

volume = 75,

place = {United States},

year = {Mon Jan 15 00:00:00 EST 2007},

month = {Mon Jan 15 00:00:00 EST 2007}

}

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